Dust acoustic waves in quantum plasmas

Shukła, P. K.; Ali, S.

doi:10.1063/1.2136376

Cited by 143 publications

(62 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In kinetic theory, the unperturbed electron distribution is frequently given by a Fermi-Dirac function, while in hydrodynamics the momentum equation for electrons is made consistent with the equation of state of a degenerate electron Fermi gas [4,5]. In fluid models, the ion-sound wave propagation in plasmas with degenerate electrons has been investigated by a number of authors [6][7][8][9][10][11][12], using the equation of state for a cold (fully degenerate) Fermi electron gas, with a negligible thermodynamic temperature. The energy distribution of a degenerate electron gas described by the Fermi-Dirac distribution is characterized by independent parameters, one of which is the chemical potential, while the other is the thermodynamic temperature.…”

Section: Introductionmentioning

confidence: 99%

Linear and nonlinear ion-acoustic waves in nonrelativistic quantum plasmas with arbitrary degeneracy

Haas

Mahmood

2015

Phys. Rev. E

View full text Add to dashboard Cite

Linear and nonlinear ion-acoustic waves are studied in a fluid model for non-relativistic, unmagnetized quantum plasma with electrons with an arbitrary degeneracy degree. The equation of state for electrons follows from a local Fermi-Dirac distribution function and apply equally well both to fully degenerate or classical, non-degenerate limits. Ions are assumed to be cold. Quantum diffraction effects through the Bohm potential are also taken into account. A general coupling parameter valid for dilute and dense plasmas is proposed. The linear dispersion relation of the ion-acoustic waves is obtained and the ion-acoustic speed is discussed for the limiting cases of extremely dense or dilute systems. In the long wavelength limit the results agree with quantum kinetic theory.Using the reductive perturbation method, the appropriate Korteweg-de Vries equation for weakly nonlinear solutions is obtained and the corresponding soliton propagation is analyzed. It is found that soliton hump and dip structures are formed depending on the value of the quantum parameter for the degenerate electrons, which affect the phase velocities in the dispersive medium.

show abstract

Section: Introductionmentioning

confidence: 99%

Linear and nonlinear ion-acoustic waves in nonrelativistic quantum plasmas with arbitrary degeneracy

Haas

Mahmood

2015

Phys. Rev. E

View full text Add to dashboard Cite

show abstract

“…In contrast to the highfrequency excitations, we may expect that the low-frequency disturbances will lead to a new excitation in the carbon nanotube, i.e., quantum ion-acoustic wave mode. A powerful theoretical tool for studying the quantum plasma is the quantum hydrodynamic ͑QHD͒ model which was developed by Haas et al 6 The QHD has been recently used to the quantum dust acoustic wave 7 and instabilities of electromagnetic waves in quantum plasma. 8 In particular, Haas studied ion-acoustic waves 9 in the one-dimensional quantum plasmas.…”

mentioning

confidence: 99%

Quantum ion-acoustic waves in single-walled carbon nanotubes studied with a quantum hydrodynamic model

Wang

2007

Phys. Rev. B

114

View full text Add to dashboard Cite

“…The study of quantum plasma has a great interest now day's due to its many significant applications in ultra-small electronic devices, dense astrophysical plasmas, laser fusion plasma and in excitation of linear and nonlinear waves [1][2][3][4]. In traditional plasma the magnetohydrodynamic (MHD) fluid model is widely used to discuss wave propagation in hot and cold plasmas.…”

Section: Introductionmentioning

confidence: 99%

Effect of Bohm potential and magnetohydrodynamic wave propagation in Fermi degenerate quantum plasma

Garai

Prajapati²

2013

International Journal of Physical Research

View full text Add to dashboard Cite

In this paper we have investigated the simultaneous effects of Bohm potential and electron spin on the low frequency magnetohydrodynamic (MHD) wave propagation in dense Fermi degenerate quantum plasma. The elementary ideal about quantum collision process in quantum plasma is also discussed. The quantum magnetohydrodynamic (QMHD) model is modified and a general dispersion relation is obtained using the plane wave approximation for the considered system. This dispersion relation is reduced for the parallel and perpendicular modes of propagations. We find that the quantum Bohm potential is coupled with the Alfven mode in perpendicular propagation but in the parallel mode of propagation the dispersion relation is unaffected due to the presence of magnetic field. From the curves we find that increase in Alfven velocity and sound velocity increases the frequency of the perturbations.

show abstract

Dust acoustic waves in quantum plasmas

Abstract: The quantum hydrodynamic model for plasmas is employed to derive a new dispersion relation for the dust acoustic wave. It is found that the dispersion property of the latter is significantly affected by quantum corrections.

Cited by 143 publications

References 13 publications

Linear and nonlinear ion-acoustic waves in nonrelativistic quantum plasmas with arbitrary degeneracy

Linear and nonlinear ion-acoustic waves in nonrelativistic quantum plasmas with arbitrary degeneracy

Quantum ion-acoustic waves in single-walled carbon nanotubes studied with a quantum hydrodynamic model

Effect of Bohm potential and magnetohydrodynamic wave propagation in Fermi degenerate quantum plasma

Contact Info

Product

Resources

About